Arithmetic vs. Geometric Sequences

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

For each sequence, state if it is arithmetic, geometric, or neither.
−34, −26, −18, −10, −2, ... 

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:
3, 15, 75...

• 12
• 1/5
• 5
• 10

Tags

CCSS.HSF.BF.A.2

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Write the recursive formula for 17, 33,  49, 65....

• a_n= -16 *a_n-1
  a₁=17
• a_n=a_n-1-16
  a₁=17
• a_n=16 *a_n-1
  a₁=17
• a_n=a_n-1+16
  a₁=17

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Decide what kind of sequence this is.
What is the recursive form for the following sequence
3, 15, 75, 375, 1875...

• a_n= 5*a_n-1
• a_n= (1/5)*a_n-1
• a_n= a_n-1+5
• a_n= a_n-1 - 5 

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x2
• a_n = 11(2)^n-1
• a_n = 11 + 2(n-1)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Given the recursive formula, find the first four terms:
a_n = -3⋅a_n-1
a₁ = 45

• 45, -135, 405, -1215
• -45, -135, -405, -1215
• 45, 135, 405, 1215
• 45, 42, 39, 36

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1